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September 14th, 2017, 11:44 PM  #1 
Newbie Joined: Sep 2017 From: Oregon Posts: 1 Thanks: 0  Need help with a math problem.
In math class this problem plz explain how to solve and what work you did. X=9 x^2+3 X^2 is my way of saying x is squared. 
September 14th, 2017, 11:58 PM  #2 
Senior Member Joined: May 2016 From: USA Posts: 1,245 Thanks: 515 
Is the problem $x = \ 9 + x^2 + 3$ or $x = \ 9x^2 + 3$? There are FOUR methods to solve quadratic equations. Which ones have you been taught so far? It is hard to help when you tell us nothing about what you have tried or even thought about. 
September 15th, 2017, 05:34 AM  #3 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 895 
The simplest thing to do is to use the "quadratic formula". Given a general quadratic equation, $\displaystyle ax^2+ bx+ c= 0$, you can apply "completing the square" to it to get $\displaystyle x= \frac{b\pm\sqrt{b^2 4ac}}{2a}$. Here 9x^2+ x= 3 is the same as 9x^2+ x 3= 0 so a= 9, b= 1, and c= 3. So $\displaystyle x= \frac{1\pm\sqrt{(1)^2 4(9)(3)}}{2(9)}= \frac{1\pm\sqrt{109}}{18}$.

September 15th, 2017, 06:06 AM  #4 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,780 Thanks: 970  
September 18th, 2017, 01:39 AM  #5 
Newbie Joined: Sep 2017 From: Bathinda Posts: 2 Thanks: 0 Math Focus: Algebra 
For this particular solution x = − 9 + x² + 3 or x = − 9x² + 3 x = −b ± √(b² − 4ac) $\ \ \ \ \ $ −−−−−−−−−−−−− $\ \ \ \ \ $ $\ \ \ \ $ $\ \ \ \ $ 2a Last edited by skipjack; April 28th, 2018 at 01:23 AM. 

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